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Simplifying 180177 = 878x + -1x2 Solving 180177 = 878x + -1x2 Solving for variable 'x'. Reorder the terms: 180177 + -878x + x2 = 878x + -878x + -1x2 + x2 Combine like terms: 878x + -878x = 0 180177 + -878x + x2 = 0 + -1x2 + x2 180177 + -878x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 180177 + -878x + x2 = 0 Factor a trinomial. (327 + -1x)(551 + -1x) = 0Subproblem 1
Set the factor '(327 + -1x)' equal to zero and attempt to solve: Simplifying 327 + -1x = 0 Solving 327 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-327' to each side of the equation. 327 + -327 + -1x = 0 + -327 Combine like terms: 327 + -327 = 0 0 + -1x = 0 + -327 -1x = 0 + -327 Combine like terms: 0 + -327 = -327 -1x = -327 Divide each side by '-1'. x = 327 Simplifying x = 327Subproblem 2
Set the factor '(551 + -1x)' equal to zero and attempt to solve: Simplifying 551 + -1x = 0 Solving 551 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-551' to each side of the equation. 551 + -551 + -1x = 0 + -551 Combine like terms: 551 + -551 = 0 0 + -1x = 0 + -551 -1x = 0 + -551 Combine like terms: 0 + -551 = -551 -1x = -551 Divide each side by '-1'. x = 551 Simplifying x = 551Solution
x = {327, 551}
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